ENTROPY - OUR BEST FRIEND
Interdisciplinary Description of Complex Systems 3(1), 17-26, 2005
ENTROPY – OUR BEST FRIEND
U. Kordeš
Faculty of education – University of Ljubljana
Ljubljana, Slovenia
Regular paper
Received: 10 May, 2005. Accepted: 1 July, 2005.
We are the mirror as well as the face in it.
We are tasting the taste this minute
of eternity. We are pain
and what cures pain, both. We are
the sweet cold water and the jar that pours.
Rumi
SUMMARY
The paper tries to tackle the question of connection between entropy and the living. Definitions of life
as the phenomenon that defies entropy are overviewed and the conclusion is reached that life is in a
way dependant on entropy – it couldn't exist without it. Entropy is a sort of medium, a fertile soil, that
gives life possibility to blossom. Paper ends with presenting some consequences for the field of
artificial intelligence.
KEY WORDS
entropy, autopoiesis, life, living systems
CLASSIFICATION
PACS: 89.75.Fb
*Corresponding author, η: ;
Faculty of education, Kardeljeva ploščad 16, SI – 1000, Ljubljana, Slovenia
U. Kordeš
WHAT IS LIFE?
The aim of the present paper is search for new understanding of the role of entropy in
connection to life and showing some consequences that arise from this. If I want to reach this
goal, I have to start by listing some of the most common answers to question “What is life?”
In searching for the principal, determining characteristic of life we normally tend to slip into
the enumeration of its vital functions like metabolism, reproduction, growth etc. Karl von
Frisch's book “Du und das Leben” from the year 1949 is an example of such an approach.
The deficiencies, or at least borderline cases (crystals, viruses, the planet Earth…), of such
definitions are not hard to find. Looking for the characteristic functions of living organisms is
important for medical and some biological purposes, but it does not tell us enough about the
phenomenon of life itself.
Maturana and Varela [1] characterise the prevailing attitude of contemporary biology to the
question of life as a combination of the physical-chemical and evolutionary approach. The
first one explains biological processes from the point of view of chemical reactions going on
inside living organisms. It focuses on processes such as cellular respiration and metabolism,
the synthesis of proteins and also the genetic code, which is supposed to contain all
information necessary for the synthesis of proteins and for life and the development of the
organism in general. The second approach explains the emergence of biological processes as
the result of random variations of the genetic code and natural selection of the phenotypes in
which the genetic information gets realised. The first line of thought considers its basic
biological unit to be the gene, for the second one this is the species1.
Maturana and Varela [1, 2] do not question the physical-chemical foundation of living
systems nor their gradual development through continuous interactions with the environment.
They only doubt that the units of research selected this way (genes, species) could present us
with a basis for our understanding of what is life in its essence. They claim that the question:
What do all living systems have in common that makes us classify them as living beings?
remains unanswered and always tacitly present somewhere in the background, even if most
biologists tend to avoid it [1; p.74].
It is interesting that one of the most influential works on the question of life had not been
written by a biologist but by a physicist. In his book “What is Life?” Erwin Schrödinger [3]
presents a view of life starting from an utterly different perspective from contemporary
biology. He takes into account the uniform nature of living beings, by which he manages to
avoid reduction. Schrödinger suggests the following answer to the question: When do we
consider something to be alive?;
“When it ΄feeds΄ on negative entropy.” [3; ch.7].
The theory that living beings create negative entropy (the so-called syntropy or negentropy)
has been picked up and developed in the last decades by the chemist Ilya Prigogine in his
concept of dissipative structures (see e.g. [4]). A similar conception of the living can also be
found in the work of one of the forefathers of cybernetics – Heinz von Förster, who compares
living beings to the Maxwell demon in order to present the idea that living beings are actually
entropy-retarders.
It is important to notice that in all the variants of the described theory the basic units of research
are living beings in their entirety and not just one selected function or process (e.g. reproduction
or metabolism). If the entropic definition of life is to appear plausible, we cannot consider living
beings to be closed systems, as in such systems entropy can only grow or remain unchanged.
18
Entropy – our best friend
Living beings therefore must be open systems. But despite the fact that they are open, they are
nevertheless also clearly separated from the environment in some way. This separation is,
ontologically speaking, much stronger than for example the separation of the dewar (which can
be considered to be an approximation of a closed system) from its environment. Thus, living
systems are not closed in terms of the exchange of energy and matter, but they are “closed” in
terms of preserving their identity. To emphasise these distinctions, Maturana and Varela
distinguish between structurally and organisationally open or closed systems. Living
organisms are thus structurally open and organisationally closed systems.
Schrödinger gave an expanded entropy equation for this kind of systems: dS = deS + diS,
where dS stands for the entire change of entropy of a living system, deS stands for the flow of
entropy through the system and diS stands for the production of entropy inside the system due
to irreversible changes occurring in it. While the diS member is always positive, the deS
member can also be negative and in its absolute value bigger than diS, meaning that the entire
change of entropy in an open system can be less than zero. Thus, an open system can change
in the direction of increased orderliness. Of course, this ordering in open systems feeds on the
order of the (closed) wider system, which contains these open systems – namely, the
environment. This containing system still change in the direction of lesser order according to
the second law of thermodynamics. The increase of entropy represents the flow of entropy
that has negative value from the point of view of the contained open systems and enables
them to increase their inner order.
Under certain circumstances open systems can continuously perform work. For a system to
be able to do that, it must not be in the state of stable equilibrium, rather, it has to “search”
for such equilibrium [5]. Let us consider Bertalanffy's example of the water reservoir with
high potential energy: one might open the reservoir and the water would sta (...truncated)